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364 SEMICONDUCTOR DEVICES


Current–
controlled
current
source

(fixed)

iB > 0

iC = βiB

iE = iC + iB
= (β + 1)iB

vCE > Vγ

vBE = Vγ




+

+ +

E
(a)

C

B

iB > 0

iC < βiB

vCE = Vsat

Vsat

vBE = Vγ

(fixed)



+

+ +

+

E
(b)

C

B

iB = 0

iC = ICEO

vCE ≥ 0

vBE < Vγ −


+

+

E
(c)

C

B

Figure 7.3.8Large-signal models ofnpnBJT.(a)Linear circuit model in idealized active state.(b)Idealized
saturated state.(c)Idealized cutoff state.

EXAMPLE 7.3.1
Consider the common-emitter BJT circuit shown in Figure E7.3.1(a). The static characteristics of
thenpnsilicon BJT are given in Figure E7.3.1(b) along with the load line. CalculateiBforvS= 1
V and 2 V. Then estimate the corresponding values ofvCEandiCfrom the load line, and compute
the voltage amplificationAv= vCE/ vSand the current amplificationAi= iC/ iB.

Solution

iB=0 forvS<VγandiB=(vS−Vγ)/RBforvS>V. With varying but positive base current,
vBEstays nearly constant at the junction threshold voltageVγ, which is 0.7 V for a silicon BJT
[see Figure 7.3.4(a)].

Then,IBQ 1 =

vS 1 − 0. 7
RB

=

1 − 0. 7
20,000

= 15 μA,forvS 1 = 0 .7V

Corresponding to 15-μA interpolated static curve and load line [see Fig. E7.3.1(b)], we get
vCE 1 = 9 .4 V, andiC 1 = 1 .3 mA;

forvS 2 =2V,IBQ 2 =

2 − 0. 7
20,000

=

1. 3
20,000

= 65 μA

+


C

(a)

E

+

+

+

− −

RB=Ω20 k B RC=Ω2 k

VCC=12 V

iC

iB
vS

vCE

vBE

Figure E7.3.1(a)Circuit.(b)Static
curves and load line.
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